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<b>let </b><font color="Maroon">O</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="oposet_1.html#L1" target="_self">OrthoRelStr</a> ;<br/>

<b>assume </b><a NAME="E1:105"/>
<font color="Maroon">O</font> is <a href="oposet_1.html#V17" target="_self">StrictPartialOrdered</a>
 ;<br/>

<a NAME="E2:105"/><b>then </b><i><font color="Green">E22</font></i>: 
( <font color="Maroon">O</font> is <a href="oposet_1.html#V8" target="_self">Asymmetric</a> &amp; <font color="Maroon">O</font> is <a href="orders_2.html#V3">transitive</a> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:105"/><b>then </b><i><font color="Green">E23</font></i>: 
<font color="Maroon">O</font> is <a href="necklace.html#V2">asymmetric</a>
 
<b>by </b><i/>;<br/>
<a NAME="E4:105"/>
<font color="Maroon">O</font> is <a href="oposet_1.html#V9" target="_self">SubTransitive</a>
 
<b>by </b><i><a class="txt" href="oposet_1.html#E26"><i><font color="Green">Lemma57</font></i></a>, <a class="ref" href="oposet_1.html#T8" target="_self">Th8</a></i>;<br/>
<b>hence </b><a NAME="E5:105"/>
<font color="Maroon">O</font> is <a href="oposet_1.html#V16" target="_self">SubStrictPartialOrdered</a>
 <b>by </b><i><a class="ref" href="oposet_1.html#D6" target="_self">Def6</a>, </i>;<br/>


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